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138967488 = 2634112437
BaseRepresentation
bin10000100100001…
…11100111000000
3100200111021120000
420102013213000
5241033424423
621442320000
73305130012
oct1022074700
9320437500
10138967488
1171497370
123a659000
1322a383aa
14146561b2
15c300843
hex84879c0

138967488 has 140 divisors (see below), whose sum is σ = 449576952. Its totient is φ = 42094080.

The previous prime is 138967483. The next prime is 138967489. The reversal of 138967488 is 884769831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138967483) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55806 + ... + 58242.

Almost surely, 2138967488 is an apocalyptic number.

138967488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224788476).

138967488 is an abundant number, since it is smaller than the sum of its proper divisors (310609464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138967488 is a wasteful number, since it uses less digits than its factorization.

138967488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2453 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 138967488 is about 11788.4472259921. The cubic root of 138967488 is about 517.9697561885.

The spelling of 138967488 in words is "one hundred thirty-eight million, nine hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2437 2592 3168 3564 4752 4874 5184 6336 7128 7311 9504 9748 14256 14622 19008 19496 21933 26807 28512 29244 38992 43866 53614 57024 58488 65799 77984 80421 87732 107228 116976 131598 155968 160842 175464 197397 214456 233952 241263 263196 321684 350928 394794 428912 467904 482526 526392 643368 701856 723789 789588 857824 965052 1052784 1286736 1403712 1447578 1579176 1715648 1930104 2105568 2171367 2573472 2895156 3158352 3860208 4211136 4342734 5146944 5790312 6316704 7720416 8685468 11580624 12633408 15440832 17370936 23161248 34741872 46322496 69483744 138967488